论文标题
从赤道大地运动中确定Kerr黑洞的角动量
Determination of the angular momentum of the Kerr black hole from equatorial geodesic motion
论文作者
论文摘要
我们提出了一种基于对Kerr时空中身体轨迹的观察结果来确定黑洞角动量的方法。我们使用汉密尔顿方程来描述粒子的动力学，并为赤道轨迹的结果提供结果，从而获得了黑洞角动量大小的代数方程。我们量身定制一个数值代码来求解动态方程并使用它来生成合成数据。我们在一些代表性的示例中应用该方法，获得轨迹的参数以及黑洞的角动量与输入数据非常吻合。
We present a method to determine the angular momentum of a black hole, based on observations of the trajectories of the bodies in the Kerr space-time. We use the Hamilton equations to describe the dynamics of a particle and present results for equatorial trajectories, obtaining an algebraic equation for the magnitude of the black hole's angular momentum. We tailor a numerical code to solve the dynamical equations and use it to generate synthetic data. We apply the method in some representative examples, obtaining the parameters of the trajectories as well as the black hole's angular momentum in good agreement with the input data.
